Finding the Third Proportional to 13,680 and 21,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,680 : 21,748.50 = 21,748.50 : x
2. Step 2: Convert to fraction form
   13,680/21,748.50 = 21,748.50/x
3. Step 3: Cross multiply
   13,680x = 21,748.50 × 21,748.50
4. Step 4: Simplify right side
   13,680x = 472,997,252.25
5. Step 5: Solve for x
   x = 472,997,252.25/13,680
6. Step 6: Final answer
   x = 34,575.82